Never once have I needed to give my PESEL number.
Do you have a karta pobytu? If yes, you have to have a Pesel. If not, how do you get by without any of these?
Anyway, I don't understand your reluctance to have one. First thing I did in Poland was to get a meldunek and a pesel. And when I started to work, a NIP as well.
also to pay ZUS you do not need a PESEL (NIP)
I am going every month to our local ZUS office to have my declaration DRA printed and stamped, and for sure each time they ask for my NIP.